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Finding the Fourth Proportional to 454,011.20, 681,016.80 and 288,532.80

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Solution

The fourth proportional to 454,011.20, 681,016.80 and 288,532.80 is: 432,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,011.20 : 681,016.80 = 288,532.80 : x
  2. Step 2: Convert to fraction form
    454,011.20/681,016.80 = 288,532.80/x
  3. Step 3: Cross multiply
    454,011.20x = 681,016.80 × 288,532.80
  4. Step 4: Simplify right side
    454,011.20x = 196,495,684,151.04
  5. Step 5: Solve for x
    x = 196,495,684,151.04/454,011.20
  6. Step 6: Final answer
    x = 432,799.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.